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Simplifying 5 + -5(x + -7) = 3(-3x + -4) Reorder the terms: 5 + -5(-7 + x) = 3(-3x + -4) 5 + (-7 * -5 + x * -5) = 3(-3x + -4) 5 + (35 + -5x) = 3(-3x + -4) Combine like terms: 5 + 35 = 40 40 + -5x = 3(-3x + -4) Reorder the terms: 40 + -5x = 3(-4 + -3x) 40 + -5x = (-4 * 3 + -3x * 3) 40 + -5x = (-12 + -9x) Solving 40 + -5x = -12 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 40 + -5x + 9x = -12 + -9x + 9x Combine like terms: -5x + 9x = 4x 40 + 4x = -12 + -9x + 9x Combine like terms: -9x + 9x = 0 40 + 4x = -12 + 0 40 + 4x = -12 Add '-40' to each side of the equation. 40 + -40 + 4x = -12 + -40 Combine like terms: 40 + -40 = 0 0 + 4x = -12 + -40 4x = -12 + -40 Combine like terms: -12 + -40 = -52 4x = -52 Divide each side by '4'. x = -13 Simplifying x = -13
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